Mathematics
14.04.2023 11:39
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Find an equation for the line in the form ax + by c. where a. b. and c are integers

Find an equation for the line in the form ax + by c. where a. b. and c are integers with no factor common to all three and a 20. through (1. -6), perpendicular to x + y = 2 the equation of the line is (type an equation)
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emmanolan112
emmanolan112
4,4(95 marks)

The standard form of required line is x-y=7.

Step-by-step explanation:

The standard form of a line is

ax+by=c

Where, a,b,c are integers with no factor common to all three and a≥0.

The give equation of line is

x+y=2

Here a=1 and b=1.

The slope of a standard line is

m=\frac{-a}{b}

m_1=\frac{-1}{1}=-1

The product of slops of two perpendicular lines is -1.

m_1\cdot m_2=-1

(-1)\cdot m_2=-1

m_2=1

The slope of required line is 1.

The point slope form of a line is

y-y_1=m(x-x_1)

Where, m is slope.

The slope of required line is 1 and it passes through the point (1,-6). So, the equation of required line is

y-(-6)=1(x-1)

y+6=x-1

Add 1 on each side.

y+7=x

Subtract y from both the sides.

7=x-y

Therefore the standard form of required line is x-y=7.

Smartpotato9555
Smartpotato9555
4,8(93 marks)
In 1500 people of 200 lb each, the total weight would be 300000 lb.
Set up a proportion: 200lb/3.2*10^-5 = 300,000lb/x
(3.2*10^-5*300,000)/200 = x
x = 0.48, I believe

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